38 citations · 41 across the 4 of their papers we have counts for
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math.NA2016
The Method of Gauss-Newton to Compute Power Series Solutions of Polynomial Homotopies
Nathan Bliss, Jan Verschelde
We consider the extension of the method of Gauss-Newton from complex floating-point arithmetic to the field of truncated power series with complex floating-point coefficients. With…
cs.SC2016
Computing all Space Curve Solutions of Polynomial Systems by Polyhedral Methods
Nathan Bliss, Jan Verschelde
A polyhedral method to solve a system of polynomial equations exploits its sparse structure via the Newton polytopes of the polynomials. We propose a hybrid symbolic-numeric method…